Mark each statement true or false. No need for explanation.
(a) {x} ∈ {x}.
(b) If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C.
(c) |A × B| ≥ |A| for all sets A and B.
(d) The multiplication of any rational number with an irrational number is irrational.
(e) In any group of 25 or more people there are at least three of them who were born in the same month.
(f) Suppose there are 4 different types of ice cream you like. You must eat at least 25 random ice creams to guarantee that you have had at least 6 samples of one type.